Let's "run some hypothetical numbers" to see what you'd likely face:
Current value of a 2018 Cougar 34' trailer: 26800
Current value of a 2015 Cougar 34' trailer: 19400
Loss in value (3 years of depreciation): 7400
Monthly payments of $300 per month for 36 months: 10800
Insurance at $40 per month for 36 months: 1440
Storage at $100 per month for 36 months: 3600
Cost of ownership (in storage) for 36 months: 10800+1440+3600= 15840
Depreciation for 36 months: 7400
Total cost for 36 months while in storage: 15840+7400= 23240
Even if you lose $10,000 by selling the trailer, you'd still come out $13,200 ahead by selling it, not having the worry or depreciation while you're gone and you'd have a substantial down payment to buy a new or newer model when you return to the US.
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John
2015 F250 6.7l 4x4
2014 Cougar X Lite 27RKS
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